516664128690 has 192 divisors, whose sum is σ = 1514895467904. Its totient is φ = 126167528448.

The previous prime is 516664128677. The next prime is 516664128709. The reversal of 516664128690 is 96821466615.

516664128690 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×516664128690² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1359457 + ... + 1697483.

It is an arithmetic number, because the mean of its divisors is an integer number (7890080562).

Almost surely, 2^516664128690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516664128690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757447733952).

516664128690 is an abundant number, since it is smaller than the sum of its proper divisors (998231339214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516664128690 is a wasteful number, since it uses less digits than its factorization.

516664128690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338103 (or 338091 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 516664128690 in words is "five hundred sixteen billion, six hundred sixty-four million, one hundred twenty-eight thousand, six hundred ninety".